Iterative Methods for Solving Nonlinear Equations and Systems

Solving nonlinear equations in Banach spaces (real or complex nonlinear equations, nonlinear systems, and nonlinear matrix equations, among others), is a non-trivial task that involves many areas of science and technology. Usually the solution is not directly affordable and require an approach using...

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Bibliographic Details
Main Author:	Soleymani, Fazlollah (auth)
Other Authors:	Cordero, Alicia (auth), Torregrosa, Juan R. (auth)
Format:	Book Chapter
Published:	MDPI - Multidisciplinary Digital Publishing Institute 2019
Subjects:	Lipschitz condition heston model rectangular matrices computational efficiency Hull-White order of convergence signal and image processing dynamics divided difference operator engineering applications smooth and nonsmooth operators Newton-HSS method higher order method Moore-Penrose asymptotic error constant multiple roots higher order efficiency index multiple-root finder computational efficiency index Potra-Pták method nonlinear equations system of nonlinear equations purely imaginary extraneous fixed point attractor basin point projection fixed point theorem convex constraints weight function radius of convergence Frédholm integral equation semi-local convergence nonlinear HSS-like method convexity accretive operators Newton-type methods multipoint iterations banach space Kantorovich hypothesis variational inequality problem Newton method semilocal convergence least square problem Fréchet derivative Newton's method iterative process Newton-like method Banach space sixteenth-order optimal convergence nonlinear systems Chebyshev-Halley-type Jarratt method iteration scheme Newton's iterative method basins of attraction drazin inverse option pricing higher order of convergence non-linear equation numerical experiment signal processing optimal methods rate of convergence n-dimensional Euclidean space non-differentiable operator projection method Newton's second order method intersection planar algebraic curve Hilbert space conjugate gradient method sixteenth order convergence method Padé approximation optimal iterative methods error bound high order Fredholm integral equation global convergence iterative method integral equation ?-continuity condition systems of nonlinear equations generalized inverse local convergence iterative methods multi-valued quasi-nonexpasive mappings R-order finite difference (FD) nonlinear operator equation basin of attraction PDE King's family Steffensen's method nonlinear monotone equations Picard-HSS method nonlinear models the improved curvature circle algorithm split variational inclusion problem computational order of convergence with memory multipoint iterative methods Kung-Traub conjecture multiple zeros fourth order iterative methods parametric curve optimal order nonlinear equation
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Iterative Methods for Solving Nonlinear Equations and Systems

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